Question

How to Run descriptives and a two-tailed, two sample assuming equal variance t-test.

Here's your data:

Weight of Apples in Grams
Apple ID	Farm A	Farm B
1	131	151
2	147	159
3	134	162
4	134	158
5	136	159
6	137	160
7	140	150
8	134	160
9	136	160
10	133	160
11	134	160
12	132	158
13	139	162
14	136	160
15	135	154
16	135	155
17	135	159
18	138	151
19	134	151
20	149	150
21	149	155
22	135	150
23	148	150
24	135	158
25	149	152
26	137	162
27	134	158
28	140	161
29	138	160
30	133	161
31	140	158
32	138	160
33	150	149
34	135	160
35	136	160
36	148	157
37	150	152
38	136	150
39	142	157
40	132	149
41	133	160
42	147	150
43	135	159
44	140	153
45	132	151
46	132	160
47	136	151
48	141	162
49	136	162
50	135	160
51	142	160
52	135	150
53	132	158
54	140	160
55	136	152
56	138	160
57	132	159
58	136	150
59	136	161
60	135	158
61	135	152
62	136	154
63	137	151
64	138	150
65	137	150
66	136	153
67	134	153

Answer 1

as the data is large enough i am using MINITAB to solve the problem.

steps:-

copy the data in minitab stat basic statistics 2 sample t   choose each sample in its own column in sample 1 select 'farm A' and in sample 2 select 'farm B' click options type 95 in confidence interval type 0.0 in hypothesized difference choose the alternative hypothesis difference hypothesized difference tick assume equal variance ok ok.

your output be :-

Two-Sample T-Test and CI: Farm A, Farm B

Method

μ₁: mean of Farm A

µ₂: mean of Farm B

Difference: μ₁ - µ₂

Equal variances are assumed for this analysis.

Descriptive Statistics

Sample	N	Mean	StDev	SE Mean
Farm A	67	137.55	5.02	0.61
Farm B	67	156.07	4.43	0.54

Estimation for Difference

Difference	Pooled StDev	95% CI for Difference
-18.522	4.735	(-20.141, -16.904)

Test

Null hypothesis	H₀: μ₁ - µ₂ = 0
Alternative hypothesis	H₁: μ₁ - µ₂ ≠ 0

T-Value	DF	P-Value
-22.64	132	0.000

decision:-

p value = 0.000 <0.05

so, we reject the null hypothesis.

we conclude that,

there is sufficient evidence to claim that there is a difference between weight of apples of farm A and farm B at 0.05 level of significance.

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